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Finding the Third Proportional to 149,916.75 and 322,065.75

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Solution

The third proportional to 149,916.75 and 322,065.75 is: 691,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,916.75 : 322,065.75 = 322,065.75 : x
  2. Step 2: Convert to fraction form
    149,916.75/322,065.75 = 322,065.75/x
  3. Step 3: Cross multiply
    149,916.75x = 322,065.75 × 322,065.75
  4. Step 4: Simplify right side
    149,916.75x = 103,726,347,323.06
  5. Step 5: Solve for x
    x = 103,726,347,323.06/149,916.75
  6. Step 6: Final answer
    x = 691,892.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.